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Finding the Fourth Proportional to 10,417.41, 14,378.61 and 7,065.83

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Solution

The fourth proportional to 10,417.41, 14,378.61 and 7,065.83 is: 9,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.41 : 14,378.61 = 7,065.83 : x
  2. Step 2: Convert to fraction form
    10,417.41/14,378.61 = 7,065.83/x
  3. Step 3: Cross multiply
    10,417.41x = 14,378.61 × 7,065.83
  4. Step 4: Simplify right side
    10,417.41x = 101,596,876.34
  5. Step 5: Solve for x
    x = 101,596,876.34/10,417.41
  6. Step 6: Final answer
    x = 9,752.60

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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.