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Finding the Fourth Proportional to 10,470.84, 14,444.36 and 7,112.58

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Solution

The fourth proportional to 10,470.84, 14,444.36 and 7,112.58 is: 9,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.84 : 14,444.36 = 7,112.58 : x
  2. Step 2: Convert to fraction form
    10,470.84/14,444.36 = 7,112.58/x
  3. Step 3: Cross multiply
    10,470.84x = 14,444.36 × 7,112.58
  4. Step 4: Simplify right side
    10,470.84x = 102,736,666.05
  5. Step 5: Solve for x
    x = 102,736,666.05/10,470.84
  6. Step 6: Final answer
    x = 9,811.69

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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.