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Finding the Fourth Proportional to 10,356.55, 14,300.48 and 8,442.68

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Solution

The fourth proportional to 10,356.55, 14,300.48 and 8,442.68 is: 11,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.55 : 14,300.48 = 8,442.68 : x
  2. Step 2: Convert to fraction form
    10,356.55/14,300.48 = 8,442.68/x
  3. Step 3: Cross multiply
    10,356.55x = 14,300.48 × 8,442.68
  4. Step 4: Simplify right side
    10,356.55x = 120,734,262.77
  5. Step 5: Solve for x
    x = 120,734,262.77/10,356.55
  6. Step 6: Final answer
    x = 11,657.77

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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.