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Finding the Fourth Proportional to 10,529.52, 14,536.08 and 7,345.68

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Solution

The fourth proportional to 10,529.52, 14,536.08 and 7,345.68 is: 10,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.52 : 14,536.08 = 7,345.68 : x
  2. Step 2: Convert to fraction form
    10,529.52/14,536.08 = 7,345.68/x
  3. Step 3: Cross multiply
    10,529.52x = 14,536.08 × 7,345.68
  4. Step 4: Simplify right side
    10,529.52x = 106,777,392.13
  5. Step 5: Solve for x
    x = 106,777,392.13/10,529.52
  6. Step 6: Final answer
    x = 10,140.77

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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.