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Finding the Fourth Proportional to 10,320.76, 14,242.74 and 6,070.68

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Solution

The fourth proportional to 10,320.76, 14,242.74 and 6,070.68 is: 8,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.76 : 14,242.74 = 6,070.68 : x
  2. Step 2: Convert to fraction form
    10,320.76/14,242.74 = 6,070.68/x
  3. Step 3: Cross multiply
    10,320.76x = 14,242.74 × 6,070.68
  4. Step 4: Simplify right side
    10,320.76x = 86,463,116.86
  5. Step 5: Solve for x
    x = 86,463,116.86/10,320.76
  6. Step 6: Final answer
    x = 8,377.59

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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.