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Finding the Fourth Proportional to 7,556.58, 10,430.64 and 4,415.40

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Solution

The fourth proportional to 7,556.58, 10,430.64 and 4,415.40 is: 6,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.58 : 10,430.64 = 4,415.40 : x
  2. Step 2: Convert to fraction form
    7,556.58/10,430.64 = 4,415.40/x
  3. Step 3: Cross multiply
    7,556.58x = 10,430.64 × 4,415.40
  4. Step 4: Simplify right side
    7,556.58x = 46,055,447.86
  5. Step 5: Solve for x
    x = 46,055,447.86/7,556.58
  6. Step 6: Final answer
    x = 6,094.75

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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.