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Finding the Fourth Proportional to 11,256.32, 15,532.08 and 7,065.92

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Solution

The fourth proportional to 11,256.32, 15,532.08 and 7,065.92 is: 9,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.32 : 15,532.08 = 7,065.92 : x
  2. Step 2: Convert to fraction form
    11,256.32/15,532.08 = 7,065.92/x
  3. Step 3: Cross multiply
    11,256.32x = 15,532.08 × 7,065.92
  4. Step 4: Simplify right side
    11,256.32x = 109,748,434.71
  5. Step 5: Solve for x
    x = 109,748,434.71/11,256.32
  6. Step 6: Final answer
    x = 9,749.94

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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.