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Finding the Fourth Proportional to 10,478.79, 15,697.08 and 4,848.53

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Solution

The fourth proportional to 10,478.79, 15,697.08 and 4,848.53 is: 7,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.79 : 15,697.08 = 4,848.53 : x
  2. Step 2: Convert to fraction form
    10,478.79/15,697.08 = 4,848.53/x
  3. Step 3: Cross multiply
    10,478.79x = 15,697.08 × 4,848.53
  4. Step 4: Simplify right side
    10,478.79x = 76,107,684.81
  5. Step 5: Solve for x
    x = 76,107,684.81/10,478.79
  6. Step 6: Final answer
    x = 7,263.02

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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.