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Finding the Fourth Proportional to 10,777.16, 14,870.25 and 6,300.05

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Solution

The fourth proportional to 10,777.16, 14,870.25 and 6,300.05 is: 8,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.16 : 14,870.25 = 6,300.05 : x
  2. Step 2: Convert to fraction form
    10,777.16/14,870.25 = 6,300.05/x
  3. Step 3: Cross multiply
    10,777.16x = 14,870.25 × 6,300.05
  4. Step 4: Simplify right side
    10,777.16x = 93,683,318.51
  5. Step 5: Solve for x
    x = 93,683,318.51/10,777.16
  6. Step 6: Final answer
    x = 8,692.76

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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.