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Finding the Fourth Proportional to 10,276.29, 15,405 and 3,700.88

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Solution

The fourth proportional to 10,276.29, 15,405 and 3,700.88 is: 5,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.29 : 15,405 = 3,700.88 : x
  2. Step 2: Convert to fraction form
    10,276.29/15,405 = 3,700.88/x
  3. Step 3: Cross multiply
    10,276.29x = 15,405 × 3,700.88
  4. Step 4: Simplify right side
    10,276.29x = 57,012,056.40
  5. Step 5: Solve for x
    x = 57,012,056.40/10,276.29
  6. Step 6: Final answer
    x = 5,547.92

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