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Finding the Fourth Proportional to 10,314.30, 15,479.29 and 7,548.12

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Solution

The fourth proportional to 10,314.30, 15,479.29 and 7,548.12 is: 11,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.30 : 15,479.29 = 7,548.12 : x
  2. Step 2: Convert to fraction form
    10,314.30/15,479.29 = 7,548.12/x
  3. Step 3: Cross multiply
    10,314.30x = 15,479.29 × 7,548.12
  4. Step 4: Simplify right side
    10,314.30x = 116,839,547.87
  5. Step 5: Solve for x
    x = 116,839,547.87/10,314.30
  6. Step 6: Final answer
    x = 11,327.91

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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.