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Finding the Fourth Proportional to 10,010, 13,813.80 and 5,594

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Solution

The fourth proportional to 10,010, 13,813.80 and 5,594 is: 7,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010 : 13,813.80 = 5,594 : x
  2. Step 2: Convert to fraction form
    10,010/13,813.80 = 5,594/x
  3. Step 3: Cross multiply
    10,010x = 13,813.80 × 5,594
  4. Step 4: Simplify right side
    10,010x = 77,274,397.20
  5. Step 5: Solve for x
    x = 77,274,397.20/10,010
  6. Step 6: Final answer
    x = 7,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.