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Finding the Fourth Proportional to 7,870.14, 10,860.78 and 4,333.35

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Solution

The fourth proportional to 7,870.14, 10,860.78 and 4,333.35 is: 5,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.14 : 10,860.78 = 4,333.35 : x
  2. Step 2: Convert to fraction form
    7,870.14/10,860.78 = 4,333.35/x
  3. Step 3: Cross multiply
    7,870.14x = 10,860.78 × 4,333.35
  4. Step 4: Simplify right side
    7,870.14x = 47,063,561.01
  5. Step 5: Solve for x
    x = 47,063,561.01/7,870.14
  6. Step 6: Final answer
    x = 5,980.02

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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.