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Finding the Fourth Proportional to 10,196, 14,070.28 and 5,719.72

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Solution

The fourth proportional to 10,196, 14,070.28 and 5,719.72 is: 7,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196 : 14,070.28 = 5,719.72 : x
  2. Step 2: Convert to fraction form
    10,196/14,070.28 = 5,719.72/x
  3. Step 3: Cross multiply
    10,196x = 14,070.28 × 5,719.72
  4. Step 4: Simplify right side
    10,196x = 80,478,061.92
  5. Step 5: Solve for x
    x = 80,478,061.92/10,196
  6. Step 6: Final answer
    x = 7,893.10

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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.