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Finding the Fourth Proportional to 10,070.53, 13,897.02 and 5,594.16

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Solution

The fourth proportional to 10,070.53, 13,897.02 and 5,594.16 is: 7,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.53 : 13,897.02 = 5,594.16 : x
  2. Step 2: Convert to fraction form
    10,070.53/13,897.02 = 5,594.16/x
  3. Step 3: Cross multiply
    10,070.53x = 13,897.02 × 5,594.16
  4. Step 4: Simplify right side
    10,070.53x = 77,742,195.03
  5. Step 5: Solve for x
    x = 77,742,195.03/10,070.53
  6. Step 6: Final answer
    x = 7,719.77

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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.