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Finding the Fourth Proportional to 10,469.84, 14,442.98 and 7,111.58

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Solution

The fourth proportional to 10,469.84, 14,442.98 and 7,111.58 is: 9,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.84 : 14,442.98 = 7,111.58 : x
  2. Step 2: Convert to fraction form
    10,469.84/14,442.98 = 7,111.58/x
  3. Step 3: Cross multiply
    10,469.84x = 14,442.98 × 7,111.58
  4. Step 4: Simplify right side
    10,469.84x = 102,712,407.71
  5. Step 5: Solve for x
    x = 102,712,407.71/10,469.84
  6. Step 6: Final answer
    x = 9,810.31

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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.