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Finding the Fourth Proportional to 10,778.12, 14,870.14 and 6,061.40

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Solution

The fourth proportional to 10,778.12, 14,870.14 and 6,061.40 is: 8,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.12 : 14,870.14 = 6,061.40 : x
  2. Step 2: Convert to fraction form
    10,778.12/14,870.14 = 6,061.40/x
  3. Step 3: Cross multiply
    10,778.12x = 14,870.14 × 6,061.40
  4. Step 4: Simplify right side
    10,778.12x = 90,133,866.60
  5. Step 5: Solve for x
    x = 90,133,866.60/10,778.12
  6. Step 6: Final answer
    x = 8,362.67

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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.