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Finding the Fourth Proportional to 10,071.70, 13,899.06 and 5,595.74

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Solution

The fourth proportional to 10,071.70, 13,899.06 and 5,595.74 is: 7,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.70 : 13,899.06 = 5,595.74 : x
  2. Step 2: Convert to fraction form
    10,071.70/13,899.06 = 5,595.74/x
  3. Step 3: Cross multiply
    10,071.70x = 13,899.06 × 5,595.74
  4. Step 4: Simplify right side
    10,071.70x = 77,775,508.63
  5. Step 5: Solve for x
    x = 77,775,508.63/10,071.70
  6. Step 6: Final answer
    x = 7,722.18

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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.