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Finding the Fourth Proportional to 7,547.11, 11,320.65 and 6,426.10

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Solution

The fourth proportional to 7,547.11, 11,320.65 and 6,426.10 is: 9,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.11 : 11,320.65 = 6,426.10 : x
  2. Step 2: Convert to fraction form
    7,547.11/11,320.65 = 6,426.10/x
  3. Step 3: Cross multiply
    7,547.11x = 11,320.65 × 6,426.10
  4. Step 4: Simplify right side
    7,547.11x = 72,747,643.12
  5. Step 5: Solve for x
    x = 72,747,643.12/7,547.11
  6. Step 6: Final answer
    x = 9,639.14

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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.