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Finding the Fourth Proportional to 11,430.98, 15,777.68 and 6,957.87

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Solution

The fourth proportional to 11,430.98, 15,777.68 and 6,957.87 is: 9,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.98 : 15,777.68 = 6,957.87 : x
  2. Step 2: Convert to fraction form
    11,430.98/15,777.68 = 6,957.87/x
  3. Step 3: Cross multiply
    11,430.98x = 15,777.68 × 6,957.87
  4. Step 4: Simplify right side
    11,430.98x = 109,779,046.34
  5. Step 5: Solve for x
    x = 109,779,046.34/11,430.98
  6. Step 6: Final answer
    x = 9,603.64

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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.