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Finding the Fourth Proportional to 10,783.84, 14,892.24 and 7,060

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Solution

The fourth proportional to 10,783.84, 14,892.24 and 7,060 is: 9,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.84 : 14,892.24 = 7,060 : x
  2. Step 2: Convert to fraction form
    10,783.84/14,892.24 = 7,060/x
  3. Step 3: Cross multiply
    10,783.84x = 14,892.24 × 7,060
  4. Step 4: Simplify right side
    10,783.84x = 105,139,214.40
  5. Step 5: Solve for x
    x = 105,139,214.40/10,783.84
  6. Step 6: Final answer
    x = 9,749.70

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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.