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Finding the Fourth Proportional to 9,985.08, 14,980.02 and 5,054.58

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Solution

The fourth proportional to 9,985.08, 14,980.02 and 5,054.58 is: 7,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.08 : 14,980.02 = 5,054.58 : x
  2. Step 2: Convert to fraction form
    9,985.08/14,980.02 = 5,054.58/x
  3. Step 3: Cross multiply
    9,985.08x = 14,980.02 × 5,054.58
  4. Step 4: Simplify right side
    9,985.08x = 75,717,709.49
  5. Step 5: Solve for x
    x = 75,717,709.49/9,985.08
  6. Step 6: Final answer
    x = 7,583.08

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Why These Related Problems?

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