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Finding the Fourth Proportional to 10,088.76, 13,923 and 5,612.59

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Solution

The fourth proportional to 10,088.76, 13,923 and 5,612.59 is: 7,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.76 : 13,923 = 5,612.59 : x
  2. Step 2: Convert to fraction form
    10,088.76/13,923 = 5,612.59/x
  3. Step 3: Cross multiply
    10,088.76x = 13,923 × 5,612.59
  4. Step 4: Simplify right side
    10,088.76x = 78,144,090.57
  5. Step 5: Solve for x
    x = 78,144,090.57/10,088.76
  6. Step 6: Final answer
    x = 7,745.66

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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.