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Finding the Fourth Proportional to 7,352.82, 11,030.15 and 2,970.02

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Solution

The fourth proportional to 7,352.82, 11,030.15 and 2,970.02 is: 4,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.82 : 11,030.15 = 2,970.02 : x
  2. Step 2: Convert to fraction form
    7,352.82/11,030.15 = 2,970.02/x
  3. Step 3: Cross multiply
    7,352.82x = 11,030.15 × 2,970.02
  4. Step 4: Simplify right side
    7,352.82x = 32,759,801.10
  5. Step 5: Solve for x
    x = 32,759,801.10/7,352.82
  6. Step 6: Final answer
    x = 4,455.41

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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.