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Finding the Fourth Proportional to 10,415.29, 14,368.99 and 6,429.48

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Solution

The fourth proportional to 10,415.29, 14,368.99 and 6,429.48 is: 8,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.29 : 14,368.99 = 6,429.48 : x
  2. Step 2: Convert to fraction form
    10,415.29/14,368.99 = 6,429.48/x
  3. Step 3: Cross multiply
    10,415.29x = 14,368.99 × 6,429.48
  4. Step 4: Simplify right side
    10,415.29x = 92,385,133.83
  5. Step 5: Solve for x
    x = 92,385,133.83/10,415.29
  6. Step 6: Final answer
    x = 8,870.15

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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.