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Finding the Fourth Proportional to 10,657.47, 14,707.32 and 5,941.77

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Solution

The fourth proportional to 10,657.47, 14,707.32 and 5,941.77 is: 8,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.47 : 14,707.32 = 5,941.77 : x
  2. Step 2: Convert to fraction form
    10,657.47/14,707.32 = 5,941.77/x
  3. Step 3: Cross multiply
    10,657.47x = 14,707.32 × 5,941.77
  4. Step 4: Simplify right side
    10,657.47x = 87,387,512.76
  5. Step 5: Solve for x
    x = 87,387,512.76/10,657.47
  6. Step 6: Final answer
    x = 8,199.65

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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.