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Finding the Fourth Proportional to 7,587.36, 11,386.80 and 2,970.72

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Solution

The fourth proportional to 7,587.36, 11,386.80 and 2,970.72 is: 4,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.36 : 11,386.80 = 2,970.72 : x
  2. Step 2: Convert to fraction form
    7,587.36/11,386.80 = 2,970.72/x
  3. Step 3: Cross multiply
    7,587.36x = 11,386.80 × 2,970.72
  4. Step 4: Simplify right side
    7,587.36x = 33,826,994.50
  5. Step 5: Solve for x
    x = 33,826,994.50/7,587.36
  6. Step 6: Final answer
    x = 4,458.34

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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.