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Finding the Fourth Proportional to 10,547.17, 15,812.94 and 6,386.20

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Solution

The fourth proportional to 10,547.17, 15,812.94 and 6,386.20 is: 9,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.17 : 15,812.94 = 6,386.20 : x
  2. Step 2: Convert to fraction form
    10,547.17/15,812.94 = 6,386.20/x
  3. Step 3: Cross multiply
    10,547.17x = 15,812.94 × 6,386.20
  4. Step 4: Simplify right side
    10,547.17x = 100,984,494.42
  5. Step 5: Solve for x
    x = 100,984,494.42/10,547.17
  6. Step 6: Final answer
    x = 9,574.56

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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.