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Finding the Fourth Proportional to 10,503.84, 15,746 and 3,925.02

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Solution

The fourth proportional to 10,503.84, 15,746 and 3,925.02 is: 5,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.84 : 15,746 = 3,925.02 : x
  2. Step 2: Convert to fraction form
    10,503.84/15,746 = 3,925.02/x
  3. Step 3: Cross multiply
    10,503.84x = 15,746 × 3,925.02
  4. Step 4: Simplify right side
    10,503.84x = 61,803,364.92
  5. Step 5: Solve for x
    x = 61,803,364.92/10,503.84
  6. Step 6: Final answer
    x = 5,883.88

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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.