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Finding the Fourth Proportional to 10,475.94, 14,444.55 and 7,116.06

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Solution

The fourth proportional to 10,475.94, 14,444.55 and 7,116.06 is: 9,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.94 : 14,444.55 = 7,116.06 : x
  2. Step 2: Convert to fraction form
    10,475.94/14,444.55 = 7,116.06/x
  3. Step 3: Cross multiply
    10,475.94x = 14,444.55 × 7,116.06
  4. Step 4: Simplify right side
    10,475.94x = 102,788,284.47
  5. Step 5: Solve for x
    x = 102,788,284.47/10,475.94
  6. Step 6: Final answer
    x = 9,811.84

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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.