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Finding the Fourth Proportional to 10,064.84, 13,888.84 and 5,588.60

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Solution

The fourth proportional to 10,064.84, 13,888.84 and 5,588.60 is: 7,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.84 : 13,888.84 = 5,588.60 : x
  2. Step 2: Convert to fraction form
    10,064.84/13,888.84 = 5,588.60/x
  3. Step 3: Cross multiply
    10,064.84x = 13,888.84 × 5,588.60
  4. Step 4: Simplify right side
    10,064.84x = 77,619,171.22
  5. Step 5: Solve for x
    x = 77,619,171.22/10,064.84
  6. Step 6: Final answer
    x = 7,711.91

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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.