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Finding the Fourth Proportional to 10,460.24, 14,430.08 and 6,926.42

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Solution

The fourth proportional to 10,460.24, 14,430.08 and 6,926.42 is: 9,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.24 : 14,430.08 = 6,926.42 : x
  2. Step 2: Convert to fraction form
    10,460.24/14,430.08 = 6,926.42/x
  3. Step 3: Cross multiply
    10,460.24x = 14,430.08 × 6,926.42
  4. Step 4: Simplify right side
    10,460.24x = 99,948,794.71
  5. Step 5: Solve for x
    x = 99,948,794.71/10,460.24
  6. Step 6: Final answer
    x = 9,555.11

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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.