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Finding the Fourth Proportional to 10,501.59, 14,499.32 and 7,352.31

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Solution

The fourth proportional to 10,501.59, 14,499.32 and 7,352.31 is: 10,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.59 : 14,499.32 = 7,352.31 : x
  2. Step 2: Convert to fraction form
    10,501.59/14,499.32 = 7,352.31/x
  3. Step 3: Cross multiply
    10,501.59x = 14,499.32 × 7,352.31
  4. Step 4: Simplify right side
    10,501.59x = 106,603,458.67
  5. Step 5: Solve for x
    x = 106,603,458.67/10,501.59
  6. Step 6: Final answer
    x = 10,151.17

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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.