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Finding the Fourth Proportional to 10,712.94, 16,071.24 and 4,870.01

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Solution

The fourth proportional to 10,712.94, 16,071.24 and 4,870.01 is: 7,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.94 : 16,071.24 = 4,870.01 : x
  2. Step 2: Convert to fraction form
    10,712.94/16,071.24 = 4,870.01/x
  3. Step 3: Cross multiply
    10,712.94x = 16,071.24 × 4,870.01
  4. Step 4: Simplify right side
    10,712.94x = 78,267,019.16
  5. Step 5: Solve for x
    x = 78,267,019.16/10,712.94
  6. Step 6: Final answer
    x = 7,305.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.