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Finding the Fourth Proportional to 10,207.32, 15,312.22 and 7,578.08

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Solution

The fourth proportional to 10,207.32, 15,312.22 and 7,578.08 is: 11,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.32 : 15,312.22 = 7,578.08 : x
  2. Step 2: Convert to fraction form
    10,207.32/15,312.22 = 7,578.08/x
  3. Step 3: Cross multiply
    10,207.32x = 15,312.22 × 7,578.08
  4. Step 4: Simplify right side
    10,207.32x = 116,037,228.14
  5. Step 5: Solve for x
    x = 116,037,228.14/10,207.32
  6. Step 6: Final answer
    x = 11,368.04

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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.