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Finding the Fourth Proportional to 10,840.16, 14,957.22 and 6,593.50

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Solution

The fourth proportional to 10,840.16, 14,957.22 and 6,593.50 is: 9,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.16 : 14,957.22 = 6,593.50 : x
  2. Step 2: Convert to fraction form
    10,840.16/14,957.22 = 6,593.50/x
  3. Step 3: Cross multiply
    10,840.16x = 14,957.22 × 6,593.50
  4. Step 4: Simplify right side
    10,840.16x = 98,620,430.07
  5. Step 5: Solve for x
    x = 98,620,430.07/10,840.16
  6. Step 6: Final answer
    x = 9,097.69

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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.