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Finding the Fourth Proportional to 10,642.19, 14,678.42 and 7,050.65

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Solution

The fourth proportional to 10,642.19, 14,678.42 and 7,050.65 is: 9,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.19 : 14,678.42 = 7,050.65 : x
  2. Step 2: Convert to fraction form
    10,642.19/14,678.42 = 7,050.65/x
  3. Step 3: Cross multiply
    10,642.19x = 14,678.42 × 7,050.65
  4. Step 4: Simplify right side
    10,642.19x = 103,492,293.33
  5. Step 5: Solve for x
    x = 103,492,293.33/10,642.19
  6. Step 6: Final answer
    x = 9,724.72

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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.