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Finding the Fourth Proportional to 12,715.68, 17,547.12 and 7,410.72

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Solution

The fourth proportional to 12,715.68, 17,547.12 and 7,410.72 is: 10,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.68 : 17,547.12 = 7,410.72 : x
  2. Step 2: Convert to fraction form
    12,715.68/17,547.12 = 7,410.72/x
  3. Step 3: Cross multiply
    12,715.68x = 17,547.12 × 7,410.72
  4. Step 4: Simplify right side
    12,715.68x = 130,036,793.13
  5. Step 5: Solve for x
    x = 130,036,793.13/12,715.68
  6. Step 6: Final answer
    x = 10,226.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.