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Finding the Fourth Proportional to 10,118.40, 13,952.52 and 7,430.76

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Solution

The fourth proportional to 10,118.40, 13,952.52 and 7,430.76 is: 10,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.40 : 13,952.52 = 7,430.76 : x
  2. Step 2: Convert to fraction form
    10,118.40/13,952.52 = 7,430.76/x
  3. Step 3: Cross multiply
    10,118.40x = 13,952.52 × 7,430.76
  4. Step 4: Simplify right side
    10,118.40x = 103,677,827.52
  5. Step 5: Solve for x
    x = 103,677,827.52/10,118.40
  6. Step 6: Final answer
    x = 10,246.46

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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.