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Finding the Fourth Proportional to 10,419.03, 14,378.68 and 5,703.32

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Solution

The fourth proportional to 10,419.03, 14,378.68 and 5,703.32 is: 7,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.03 : 14,378.68 = 5,703.32 : x
  2. Step 2: Convert to fraction form
    10,419.03/14,378.68 = 5,703.32/x
  3. Step 3: Cross multiply
    10,419.03x = 14,378.68 × 5,703.32
  4. Step 4: Simplify right side
    10,419.03x = 82,006,127.07
  5. Step 5: Solve for x
    x = 82,006,127.07/10,419.03
  6. Step 6: Final answer
    x = 7,870.80

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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.