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Finding the Fourth Proportional to 10,656.44, 14,700.49 and 7,124.84

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Solution

The fourth proportional to 10,656.44, 14,700.49 and 7,124.84 is: 9,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.44 : 14,700.49 = 7,124.84 : x
  2. Step 2: Convert to fraction form
    10,656.44/14,700.49 = 7,124.84/x
  3. Step 3: Cross multiply
    10,656.44x = 14,700.49 × 7,124.84
  4. Step 4: Simplify right side
    10,656.44x = 104,738,639.17
  5. Step 5: Solve for x
    x = 104,738,639.17/10,656.44
  6. Step 6: Final answer
    x = 9,828.67

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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.