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Finding the Fourth Proportional to 10,842.90, 14,957.43 and 6,595.26

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Solution

The fourth proportional to 10,842.90, 14,957.43 and 6,595.26 is: 9,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.90 : 14,957.43 = 6,595.26 : x
  2. Step 2: Convert to fraction form
    10,842.90/14,957.43 = 6,595.26/x
  3. Step 3: Cross multiply
    10,842.90x = 14,957.43 × 6,595.26
  4. Step 4: Simplify right side
    10,842.90x = 98,648,220.60
  5. Step 5: Solve for x
    x = 98,648,220.60/10,842.90
  6. Step 6: Final answer
    x = 9,097.95

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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.