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Finding the Fourth Proportional to 10,106.89, 15,153.76 and 4,841.76

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Solution

The fourth proportional to 10,106.89, 15,153.76 and 4,841.76 is: 7,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.89 : 15,153.76 = 4,841.76 : x
  2. Step 2: Convert to fraction form
    10,106.89/15,153.76 = 4,841.76/x
  3. Step 3: Cross multiply
    10,106.89x = 15,153.76 × 4,841.76
  4. Step 4: Simplify right side
    10,106.89x = 73,370,931.90
  5. Step 5: Solve for x
    x = 73,370,931.90/10,106.89
  6. Step 6: Final answer
    x = 7,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.