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Finding the Fourth Proportional to 10,418.53, 14,377.93 and 5,702.81

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Solution

The fourth proportional to 10,418.53, 14,377.93 and 5,702.81 is: 7,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.53 : 14,377.93 = 5,702.81 : x
  2. Step 2: Convert to fraction form
    10,418.53/14,377.93 = 5,702.81/x
  3. Step 3: Cross multiply
    10,418.53x = 14,377.93 × 5,702.81
  4. Step 4: Simplify right side
    10,418.53x = 81,994,602.98
  5. Step 5: Solve for x
    x = 81,994,602.98/10,418.53
  6. Step 6: Final answer
    x = 7,870.08

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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.